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2221022200012 = 2271135973101137
BaseRepresentation
bin100000010100011111001…
…111010100000011001100
321212022211212002221111221
4200110133033110003030
5242342123140400022
64420153513453124
7316315000130650
oct40243717240314
97768755087457
102221022200012
11786a26148000
122ba547a111a4
13131597c6bc45
14796d8902a60
153cb91cd6cc7
hex2051f3d40cc

2221022200012 has 384 divisors, whose sum is σ = 5123790120960. Its totient is φ = 824643072000.

The previous prime is 2221022200003. The next prime is 2221022200013. The reversal of 2221022200012 is 2100022201222.

It is a super-2 number, since 2×22210222000122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2221022200013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16211840808 + ... + 16211840944.

It is an arithmetic number, because the mean of its divisors is an integer number (13343203440).

Almost surely, 22221022200012 is an apocalyptic number.

2221022200012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221022200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561895060480).

2221022200012 is an abundant number, since it is smaller than the sum of its proper divisors (2902767920948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2221022200012 is a wasteful number, since it uses less digits than its factorization.

2221022200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2221022200012 its reverse (2100022201222), we get a palindrome (4321044401234).

It can be divided in two parts, 22210 and 22200012, that added together give a palindrome (22222222).

The spelling of 2221022200012 in words is "two trillion, two hundred twenty-one billion, twenty-two million, two hundred thousand, twelve".